Magnetoasymmetric current fluctuations of single-electron tunneling

TL;DR

This paper investigates how magnetic field reversal affects shot noise in a quantum dot, revealing a fundamental relation between conductance and noise asymmetries and uncovering charge transfer distribution asymmetries.

Contribution

It establishes an exact relation between magnetoasymmetries in nonlinear conductance and shot noise, highlighting a higher-order fluctuation-dissipation connection.

Findings

Exact relation between conductance and shot noise asymmetries

Magnetoasymmetry in the full charge transfer distribution

Higher-order fluctuation-dissipation relationship

Abstract

We determine the shot noise asymmetry of a quantum dot under reversal of an external magnetic field. The dot is coupled to edge states which invert their chirality when the field is reversed, leading to a magnetoasymmetric electrochemical potential in the nanostructure. Surprisingly, we find an exact relation between the magnetoasymmetries corresponding to the nonlinear conductance and the shot noise to leading order in the applied bias, implying a higher-order fluctuation-dissipation relationship. Our calculations also show a magnetoasymmetry of the full probability distribution of the transferred charge.